Short-Pulse Laser Heating and Incorporating Thermomechanical Coupling: Closed Form

Abstract

A closed-form solution for temperature and stress fields is presented for short-pulse laser heating of solid substrate. Thermomechanical coupling is incorporated in the governing equation of energy. The temperature, thermal stress, and displacement are nondimensionalized with the appropriate parameters. The Lie point symmetry method is adopted to solve the governing equation of energy. It is found that temperature decay is sharp in the region next to the surface where laser heating occurs. Thermal stress is negative at the surface and it decays sharply with increasing distance below the surface, which is more pronounced in the early heating period.